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Zeroth-order (ZO) optimization is widely used to handle challenging tasks, such as query-based black-box adversarial attacks and reinforcement learning. Various attempts have been made to integrate prior information into the gradient…

机器学习 · 统计学 2021-11-09 Shuyu Cheng , Guoqiang Wu , Jun Zhu

Fine-tuning large models on edge devices is severely hindered by the memory-intensive backpropagation (BP) in standard frameworks like federated learning and split learning. While substituting BP with zeroth-order optimization can…

机器学习 · 计算机科学 2026-05-28 Qiyuan Chen , Xian Wu , Yi Wang , Xianhao Chen

Bayesian optimization (BO) is a class of global optimization algorithms, suitable for minimizing an expensive objective function in as few function evaluations as possible. While BO budgets are typically given in iterations, this implicitly…

机器学习 · 计算机科学 2020-03-25 Eric Hans Lee , Valerio Perrone , Cedric Archambeau , Matthias Seeger

We study two procedures (reverse-mode and forward-mode) for computing the gradient of the validation error with respect to the hyperparameters of any iterative learning algorithm such as stochastic gradient descent. These procedures mirror…

机器学习 · 统计学 2017-12-13 Luca Franceschi , Michele Donini , Paolo Frasconi , Massimiliano Pontil

Approximate bi-level optimization (ABLO) consists of (outer-level) optimization problems, involving numerical (inner-level) optimization loops. While ABLO has many applications across deep learning, it suffers from time and memory…

机器学习 · 计算机科学 2021-06-09 Valerii Likhosherstov , Xingyou Song , Krzysztof Choromanski , Jared Davis , Adrian Weller

How the brain performs credit assignment is a fundamental unsolved problem in neuroscience. Many `biologically plausible' algorithms have been proposed, which compute gradients that approximate those computed by backpropagation (BP), and…

机器学习 · 计算机科学 2022-08-05 Beren Millidge , Yuhang Song , Tommaso Salvatori , Thomas Lukasiewicz , Rafal Bogacz

Reducing energy consumption has become a pressing need for modern machine learning, which has achieved many of its most impressive results by scaling to larger and more energy-consumptive neural networks. Unfortunately, the main algorithm…

机器学习 · 计算机科学 2025-07-10 Risi Jaiswal , Supriyo Datta , Joseph G. Makin

Backpropagation has been the cornerstone of neural network training for decades, yet its inefficiencies in time and energy consumption limit its suitability for resource-constrained edge devices. While low-precision neural network…

机器学习 · 计算机科学 2025-07-01 Jingxiao Ma , Priyadarshini Panda , Sherief Reda

It has become increasingly important to optimize backpropagation to reduce memory usage and computational overhead. Achieving this goal is highly challenging, as multiple objectives must be considered jointly while maintaining training…

机器学习 · 计算机科学 2025-03-28 Seonggon Kim , Juncheol Shin , Seung-taek Woo , Eunhyeok Park

Quadrotor control policies can be trained with high performance using the exact gradients of the rewards to directly optimize policy parameters via backpropagation-through-time (BPTT). However, designing a fully differentiable reward…

机器人学 · 计算机科学 2025-05-22 Fanxing Li , Fangyu Sun , Tianbao Zhang , Danping Zou

Direct Preference Optimization (DPO) has shown strong potential for mitigating hallucinations in Multimodal Large Language Models (MLLMs). However, existing multimodal DPO approaches often suffer from overfitting due to the difficulty…

人工智能 · 计算机科学 2026-01-05 Longtian Qiu , Shan Ning , Chuyu Zhang , Jiaxuan Sun , Xuming He

This paper introduces a second-order hyperplane search, a novel optimization step that generalizes a second-order line search from a line to a $k$-dimensional hyperplane. This, combined with the forward-mode stochastic gradient method,…

机器学习 · 计算机科学 2024-08-21 Adam D. Cobb , Atılım Güneş Baydin , Barak A. Pearlmutter , Susmit Jha

Standard gradient descent methods are susceptible to a range of issues that can impede training, such as high correlations and different scaling in parameter space.These difficulties can be addressed by second-order approaches that apply a…

机器学习 · 计算机科学 2020-04-29 Ted Moskovitz , Rui Wang , Janice Lan , Sanyam Kapoor , Thomas Miconi , Jason Yosinski , Aditya Rawal

Bayesian optimization (BO) is a popular method for optimizing expensive-to-evaluate black-box functions. BO budgets are typically given in iterations, which implicitly assumes each evaluation has the same cost. In fact, in many BO…

机器学习 · 计算机科学 2021-06-14 Eric Hans Lee , David Eriksson , Valerio Perrone , Matthias Seeger

Zeroth-order (ZO) optimization is a subset of gradient-free optimization that emerges in many signal processing and machine learning applications. It is used for solving optimization problems similarly to gradient-based methods. However, it…

机器学习 · 计算机科学 2020-06-23 Sijia Liu , Pin-Yu Chen , Bhavya Kailkhura , Gaoyuan Zhang , Alfred Hero , Pramod K. Varshney

The success of deep learning over the past decade mainly relies on gradient-based optimisation and backpropagation. This paper focuses on analysing the performance of first-order gradient-based optimisation algorithms, gradient descent and…

最优化与控制 · 数学 2022-12-08 Behnam Mafakheri , Iman Shames , Jonathan H. Manton

Large reasoning models (LRMs) generate intermediate reasoning traces before producing final answers, yielding strong gains on multi-step and mathematical tasks. Yet aligning LRMs with human preferences, a crucial prerequisite for model…

机器学习 · 计算机科学 2025-10-07 Mingkang Zhu , Xi Chen , Bei Yu , Hengshuang Zhao , Jiaya Jia

Language Models (LLMs) are often quantized to lower precision to reduce the memory cost and latency in inference. However, quantization often degrades model performance, thus fine-tuning is required for various down-stream tasks.…

Variance reduction techniques are designed to decrease the sampling variance, thereby accelerating convergence rates of first-order (FO) and zeroth-order (ZO) optimization methods. However, in composite optimization problems, ZO methods…

机器学习 · 计算机科学 2024-05-29 Hao Di , Haishan Ye , Yueling Zhang , Xiangyu Chang , Guang Dai , Ivor W. Tsang

Optimizing expensive-to-evaluate black-box functions of discrete (and potentially continuous) design parameters is a ubiquitous problem in scientific and engineering applications. Bayesian optimization (BO) is a popular, sample-efficient…

机器学习 · 计算机科学 2022-10-20 Samuel Daulton , Xingchen Wan , David Eriksson , Maximilian Balandat , Michael A. Osborne , Eytan Bakshy